Problem 7E

Discuss the similarities and the differences between the Empirical Rule and Chebychev’s Theorem.

Solution:

Step 1 of 1:

Here we have to discuss the similarities and differences between the Empirical rule and Chebyshev's theorem.

Similarity: Both estimate proportions (or percentage) of the data contained within k standard deviation of the mean.

Difference: The Empirical rule is used when data distribution is bell shaped, because we have more information about the shape of the distribution. Chebyshev's theorem is used for all distribution shapes.